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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Deligne–Lusztig duality on the moduli stack of bundles
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by Lin Chen
Represent. Theory 27 (2023), 608-668
DOI: https://doi.org/10.1090/ert/645
Published electronically: July 24, 2023

Abstract:

Let $\operatorname {Bun}_{G}(X)$ be the moduli stack of $G$-torsors on a smooth projective curve $X$ for a reductive group $G$. We prove a conjecture made by Drinfeld-Wang and Gaitsgory on the Deligne–Lusztig duality for D-modules on $\operatorname {Bun}_{G}(X)$. This conjecture relates the pseudo-identity functors given by Gaitsgory [Ann. Sci. Éc. Norm. Supér. (4) (2017)] and Drinfeld and Gaitsgory [Camb. J. Math. 3 (2015), pp. 19–125] to the enhanced Eisenstein series and geometric constant term functors given by Gaitsgory [Astérisque (2015)]. We also prove a “second adjointness” result for these enhanced functors.
References
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Bibliographic Information
  • Lin Chen
  • Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
  • Address at time of publication: Yau Mathematical Sciences Center, Jingzhai, Tsinghua University, Haidian District, Beijing, People’s Republic of China
  • ORCID: 0000-0002-8676-9907
  • Email: kylinjchen@gmail.com
  • Received by editor(s): September 12, 2021
  • Received by editor(s) in revised form: January 23, 2022, February 13, 2023, and February 22, 2023
  • Published electronically: July 24, 2023
  • © Copyright 2023 American Mathematical Society
  • Journal: Represent. Theory 27 (2023), 608-668
  • MSC (2020): Primary 14D24
  • DOI: https://doi.org/10.1090/ert/645
  • MathSciNet review: 4619506